How do I solve this inequality?

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

B = -1

Your answer would be C

Answer:

b = -1

Step-by-step explanation:

-3(2x - 3) + 5x = bx + 9

-3 x 2x = -6x

-3 x -3 = 9

-6x + 9 + 5x = bx + 9

-6x + 5x = -1x

-1x + 9 = bx + 9

(cancel out everything except -1 and b)

-1 = b

Answer:

The p-value categories are as follows:

p-value < 0.01

0.01 ≤ p-value < 0.025

0.025 ≤ p-value < 0.05

0.05 ≤ p-value < 0.10

p-value ≥ 0.10

Step-by-step explanation:

The p-value is a statistical measure used in hypothesis testing to determine the significance of results. It represents the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. In the given categories, a p-value less than 0.01 indicates strong evidence to reject the null hypothesis and suggests a significant result. This means that the observed data is highly unlikely to have occurred by chance alone.

A p-value between 0.01 and 0.025 suggests strong evidence against the null hypothesis, but it is slightly less significant than the previous category.

A p-value between 0.025 and 0.05 indicates moderate evidence against the null hypothesis. While still statistically significant, it may not be as strong as the previous categories.

A p-value between 0.05 and 0.10 suggests weak evidence against the null hypothesis. It indicates some level of significance, but it is generally considered less conclusive.

Lastly, a p-value greater than or equal to 0.10 suggests that there is insufficient evidence to reject the null hypothesis. The observed data is likely to have occurred by chance, and the results are not considered statistically significant.

These categories help researchers and statisticians interpret the significance of their findings and make informed decisions based on the strength of evidence provided by the p-value.

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The solution set of the given inequality is  {b| b > 20}.

Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.

And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:

(4/3)*(3/4)*b > 15*(4/3)

b > 20

Then the solution set can be written as {b| b > 20}

That is the set of all values larger than 20.

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The complementary function for the differential equation is ye(x) = \(c1e^(^i^\sqrt6x)\) + \(c2e^(^-^i^\sqrt6x)\). The particular solution for the differential equation is \(Yp(x) = -7e^(^6^x^)\). The general solution for the differential equation is y(x) = \(c1e^(^i^\sqrt6x)\) + \(c2e^(^-^i^\sqrt6x)\) -\(7e^(^6^x^)\).

To find the complementary function for the given differential equation, we assume a solution of the form \(ye(x) = e^(^r^x^)\), where r is a constant to be determined. Plugging this into the differential equation, we get:

\(r^2e^(^r^x^) + 6e^(^r^x^) = 0\)

Factoring out \(e^(^r^x^)\), we obtain:

\(e^(^r^x^)(r^2 + 6) = 0\)

For a nontrivial solution, the term in the parentheses must equal zero:

\(r^2 + 6 = 0\)

Solving this quadratic equation gives us r = ±√(-6) = ±i√6. Hence, the complementary function is of the form:

ye(x) = \(c1e^(^i^\sqrt6x)\) + \(c2e^(^-^i^\sqrt6x)\)

Next, we need to find the particular solution Yp(x) for the differential equation. The particular solution is assumed to have a similar form to the forcing term \(-294x^2^e^(^6^x^).\)

Since this term is a polynomial multiplied by an exponential function, we assume a particular solution of the form:

\(Yp(x) = (A + Bx + Cx^2)e^(^6^x^)\)

Differentiating this expression twice and substituting it into the differential equation, we find:

12C + 12C + 6(A + Bx + Cx^2) = \(-294x^2^e^(^6^x^)\)

Simplifying and equating coefficients of like terms, we get:

12C = 0 (from the constant term)

12C + 6A = 0 (from the linear term)

6A + 6B = 0 (from the quadratic term)

Solving this system of equations, we find A = -7, B = 0, and C = 0. Therefore, the particular solution is:

\(Yp(x) = -7e^(^6^x^)\)

Finally, the general solution for the differential equation is given by the sum of the complementary function and the particular solution:

y(x) = ye(x) + Yp(x)

y(x) = \(c1e^(^i^\sqrt6x)\) + \(c2e^(^-^i^\sqrt6x)\) - \(7e^(^6^x^)\)

This is the general solution to the given differential equation.

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Answer:

8:35 PM

Step-by-step explanation:

First, subtract 15 from 50.

50-15=35

Add that 15 taken from 50 to 7:45.

7:45 + 0:15 = 8:00

Add 35 to 8:00

8:00 + 0:35 = 8:35

The next movie will start at 8:35 PM.

Hope this helps!

Answer:

He must write 371 words-per-day.

Step-by-step explanation:

1,500 - 387 = 1,113

1,113 divided by 3 = 371

The inverse Laplace transform of X(s) = 1 / [s(s+1)^3(s+2)] is 25C - 6D - 10 = 0.

To find the inverse Laplace transform of X(s) = 1 / [s(s+1)^3(s+2)], we can decompose the expression into partial fractions and then use the table of Laplace transforms to find the inverse.

Let's start by decomposing X(s) into partial fractions:

X(s) = A / s + B / (s+1) + C / (s+1)^2 + D / (s+1)^3 + E / (s+2)

To find the values of A, B, C, D, and E, we need to equate the numerators on both sides:

1 = A(s+1)^3(s+2) + B(s)(s+1)^2(s+2) + C(s)(s+2) + D(s)(s+1)(s+2) + E(s)(s)(s+1)^3

Now, let's solve for A, B, C, D, and E:

1 = A(s^3 + 3s^2 + 3s + 1)(s+2) + B(s^4 + 2s^3 + s^2)(s+2) + C(s^2 + 2s)(s+2) + D(s^3 + 3s^2 + 2s)(s+2) + E(s^4 + 3s^3 + 3s^2 + s)(s+1)

To find the values of A, B, C, D, and E, we can equate the coefficients of the corresponding powers of s. Let's expand the right side and equate the coefficients:

s^4 coefficient: B + E = 0    =>    B = -E

s^3 coefficient: A + B + D + E = 0    =>    A + (-E) + D + E = 0    =>    A + D = 0    =>    A = -D

s^2 coefficient: 3A + B + C + D + 3E = 0    =>    3(-D) + (-E) + C + (-D) + 3E = 0    =>    -6D - E + C + 3E = 0    =>    -6D + C + 2E = 0

s coefficient: 3A + 2B + 2C + 2D + 2E = 0    =>    3(-D) + 2(-E) + 2C + 2(-D) + 2E = 0    =>    -5D - E + 2C = 0    =>    -5D + 2C - E = 0

constant coefficient: A + 2C = 1

From the last equation, we get A = 1 - 2C. Substituting this into the equation -5D + 2C - E = 0, we have -5D + 2C - E = -5(1 - 2C) + 2C - E = -5 + 10C + 2C - E = 12C - E - 5 = 0. Rearranging, we get E = 12C - 5.

Substituting these values back into the equation -6D + C + 2E = 0, we have -6D + C + 2(12C - 5) = -6D + C + 24C - 10 = 25C - 6D - 10 = 0.

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Answer: Choice B

Work Shown:

\(\sqrt[3]{\text{x}^5\text{y}}\\\\(\text{x}^5\text{y})^{\frac{1}{3}}\\\\(\text{x}^5)^{\frac{1}{3}}*(\text{y})^{\frac{1}{3}}\\\\\text{x}^{\frac{5}{3}}\text{y}^{\frac{1}{3}}\\\\\)

a) the 90% confidence interval for the proportion of Americans who decide not to go to college because they cannot afford it is 45.1% to 52.9%

b) a sample size of approximately 1629 people would be recommended to achieve a margin of error of about 1.5% for a 90% confidence level

(a) To calculate a 90% confidence interval for the proportion of Americans who decide not to go to college because they cannot afford it, we can use the sample proportion and the standard error formula. The sample proportion is 49% (0.49) and the sample size is 350.

The margin of error (ME) for a 90% confidence level is approximately 1.645 times the standard error. The standard error is calculated as the square root of (p*(1-p)/n), where p is the sample proportion and n is the sample size.

Using these values, the 90% confidence interval can be calculated as:

p ± ME

= 0.49 ± 1.645 * sqrt(0.49*(1-0.49)/350)

= 0.49 ± 0.039

Therefore, the 90% confidence interval for the proportion of Americans who decide not to go to college because they cannot afford it is 45.1% to 52.9%. We are 90% confident that 45.1% to 52.9% of all Americans who decide not to go to college do so because they cannot afford it.

(b) To determine the required sample size to achieve a margin of error of 1.5% for a 90% confidence level, we can use the formula: n = (Z^2 * p * (1-p)) / (ME^2), where Z is the z-score corresponding to the desired confidence level, p is the estimated proportion, and ME is the desired margin of error.

Substituting the values into the formula, we have:

n = (1.645^2 * 0.49 * (1-0.49)) / (0.015^2)

n ≈ 1629

Therefore, a sample size of approximately 1629 people would be recommended to achieve a margin of error of about 1.5% for a 90% confidence level.


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Answer:

C: 1/10

Step-by-step explanation:

Correct on edg

Answer:

= a⁴

Step-by-step explanation:

(a)(a)(a)(a)

a se multiplica por si misma 4 cuatro veces así que:

(a)(a)(a)(a) = a⁴

The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²

The 8 laws of exponents can be listed as follows:

Zero Exponent Law: a^(0) = 1.

Identity Exponent Law: a^(1) = a.

Product Law: a^m × a^n = a^(m+n)

Quotient Law: a^m/a^n = a^(m - n)

Negative Exponents Law: a^(-m) = 1/a^(m)

Power of a Power: (a^m)^n = a^(mn)

Power of a Product: (ab)^m = a^m*b^m

Power of a Quotient: (a/b)^m = a^m/b^m

We are given the algebra expression as:

⁴√81x³y⁴z⁸

This gives us:

81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)

= 3x^(3/4)yz²

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The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

As the composition of the functions is then given as follows:

\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)

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Answer: $29.4

Step-by-step explanation: one taco cost 4.20 so multiply the price of the tacos times the amount of tacos gina buys and you should get your answer which is 29.4

Answer:

360 nickles

Step-by-step explanation:

you had the equation in front of you so just dived those numbers and 360 should be your answers and to check it multiply 360 by 0.05

Minutes should be distributed after a meeting within a reasonable timeframe, ideally within 24 to 48 hours. However, in some cases, it may be acceptable to distribute them within one hour if the meeting was brief or urgent. The distribution of minutes ensures that all participants have a clear record of the discussions, decisions, and action items.

The distribution of meeting minutes plays a crucial role in ensuring effective communication and documentation of the meeting proceedings. Ideally, minutes should be distributed within 24 to 48 hours after the meeting. This timeframe allows the person responsible for preparing the minutes to review and summarize the key points discussed accurately. It also provides sufficient time for any necessary edits or clarifications before sending them out to the participants.

However, there are instances where a quicker distribution of minutes may be necessary. For brief or urgent meetings, where decisions need to be acted upon immediately, it may be appropriate to distribute the minutes within one hour. In such cases, participants may not have been able to take detailed notes, and the timely distribution of minutes ensures that everyone has a comprehensive record of the meeting.

On the other hand, it is generally not recommended to never distribute minutes under the assumption that everyone should have taken their own notes. While participants may take individual notes, minutes serve as an official record of the meeting, capturing important details and actions that can be referred to later. They provide a shared understanding and accountability for the discussed topics and decisions, making them valuable for absent participants or for future reference.

In conclusion, distributing meeting minutes within 24 to 48 hours allows for thorough preparation and review, ensuring accuracy and clarity. However, for urgent or brief meetings, it may be necessary to distribute minutes within one hour to facilitate immediate action. Regardless of the distribution timeframe, minutes should be provided to all participants to ensure consistent and reliable documentation of the meeting.

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Answer: BC=14

Subtract AC by AB. Just learned this in Geomatry.

After Louis XVI's failed attempts to sabotage the Assembly and to keep the three estates separate, the Estates-General ceased to exist, becoming the National Assembly. It renamed itself the National Constituent Assembly on July 9 and began to function as a governing body and constitution-drafter.

National assembly

The National Assembly was the first revolutionary government of the French Revolution and existed from June 14th to July 9th in 1789. The National Assembly was created amidst the turmoil of the Estates-General that Louis XVI called in 1789 to deal with the looming economic crisis in France.

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Answer:

8/25

Step-by-step explanation:

Since there are only three possible outcomes on the spinner (1, 2, or 3), we can find the probability of spinning a 2 by subtracting the probabilities of spinning a 1 or a 3 from 1

P(2) = 1 - P(1) - P(3)

P(2) = 1 - 7/25 - 2/5

P(2) = 1 - 35/125 - 50/125

P(2) = 1 - 85/125

P(2) = 40/125

P(2) = 8/25

Therefore, the experimental probability of spinning a 2 is 8/25 or 0.32.

The area between the curves f(x) = 2x and g(x) = 6 - x from the vertical axis to their point of intersection is 3 square units.

To find the area between the curves, we need to determine the limits of integration, which will be the x-values where the curves intersect. Setting the equations equal to each other, we get:

2x = 6 - x

Solving for x, we get:

3x = 6

x = 2

So the curves intersect at x = 2. To find the area between them, we integrate the difference of the functions from 0 to 2:

A = ∫(6 - x - 2x)dx from 0 to 2

= ∫(6 - 3x)dx from 0 to 2

= [6x - (3/2)x^2] from 0 to 2

= [6(2) - (3/2)(2)^2] - [6(0) - (3/2)(0)^2]

= 6 - 3

= 3

Therefore, the exact area between the curves f(x) = 2x and g(x) = 6 - x is 3 square units.

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The probability that the mean score of 20 randomly selected men is at least 513.2 is approximately 0.217.

To find the probability that the mean score of 20 randomly selected men is at least 513.2, we need to use the central limit theorem.

Assuming that the scores of men are normally distributed with a mean of μ and a standard deviation of σ, the sample mean of a random sample of size n (in this case, n=20) will be normally distributed with a mean of μ and a standard deviation of σ/sqrt(n).

Let X be the score of a randomly selected man. We know that μ = 510 and σ = 20. Therefore, the sample mean of 20 randomly selected men will be normally distributed with a mean of 510 and a standard deviation of 20/sqrt(20) = 4.47.

To find the probability that the mean score of 20 randomly selected men is at least 513.2, we can standardize the distribution of the sample mean using the z-score formula:

z = (x - μ) / (σ / sqrt(n))

where x is the value we want to find the probability for, μ and σ are the mean and standard deviation of the population, and n is the sample size.

Substituting the given values, we get:

z = (513.2 - 510) / (4.47)

z ≈ 0.784

Using a standard normal distribution table or calculator, we can find the probability that a standard normal random variable is greater than or equal to 0.784:

P(Z ≥ 0.784) ≈ 0.217

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Answer: A. Yes

B. Yes

C. No

Step-by-step explanation:

A. 2z = 40 and z = 20, 20 is a solution of the equation because when you substitute z = 20 into the equation 2z = 40, the equation becomes true.

B. n + 5 = 20 and n = 15, 15 is a solution of the equation because when you substitute n = 15 into the equation n + 5 = 20, the equation becomes true.

C. v = 12 and v = 16, 12 is not a solution of the equation because v is assigned to 12 and 16 both, but the equation only has one solution, a variable can't be assigned to two different values.

In general, when solving equations, we check if the value of the variable makes the equation true. if it does it's a solution, if not it's not a solution.

The surface area of the part of the plane 10x + 9y + z = 7 that lies inside the elliptic cylinder 16 = 1/49, more specific information is needed.

To express the surface area of the given function z = y^4 cos(x) over the triangle with vertices (-1, 1), (1, 1), (0, 2), we can set up an iterated integral using the following limits of integration:

a = -1

b = 1

g(x) = 1

h(x) = 2 - x

The surface area can be calculated using the formula:

Surface Area = ∬R √(1 + (dz/dx)^2 + (dz/dy)^2) dA

where R represents the region over which the surface area is calculated, dz/dx and dz/dy are the partial derivatives of z with respect to x and y, and dA represents the differential area element.

In this case, the integral can be set up as follows:

Surface Area = ∫(-1)^(1) ∫[1]^(2-x) √(1 + (dz/dx)^2 + (dz/dy)^2) dy dx

Now, let's calculate the surface area using the given equation:

Surface Area = ∫(-1)^(1) ∫[1]^(2-x) √(1 + (-y^4 sin(x))^2 + (4y^3 cos(x))^2) dy dx

Simplifying and evaluating this integral will yield the surface area of the given function over the specified triangle region.

Regarding the second part of your question about finding the surface area of the part of the plane 10x + 9y + z = 7 that lies inside the elliptic cylinder 16 = 1/49, more specific information is needed. The equation provided for the elliptic cylinder seems to be incomplete.

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The energy states of a particle confined to a two-dimensional infinite potential well can be derived using Schrödinger's equation. The formula for the energy states involves solving the time-independent Schrödinger equation and applying appropriate boundary conditions.

To derive the formula for the energy states of a particle confined to a two-dimensional infinite potential well, we start by writing the time-independent Schrödinger equation for the system. In this case, the Schrödinger equation takes the form:

Ψ(x, y) = EΨ(x, y),

where Ψ(x, y) is the wavefunction of the particle and E is the energy of the particle.

We then separate the variables by assuming that the wavefunction can be written as a product of two functions: Ψ(x, y) = X(x)Y(y). Substituting this into the Schrödinger equation and dividing by Ψ(x, y), we obtain two separate equations: one involving the variable x and the other involving the variable y.

Solving these two equations separately with the appropriate boundary conditions (U(x, y) = 0 for 0 < x < L and 0 < y < L), we find the allowed energy levels of the particle.

In summary, the formula for the energy states of a particle confined to a two-dimensional infinite potential well can be derived by solving the time-independent Schrödinger equation with appropriate boundary conditions and separating the variables. The resulting solutions will give us the energy levels of the particle in the well.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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